Question

If alpha and beta are the zeros of the polynomial 2 x square - 7 x + 5 then find the value of Alpha square by beta + beta square by alpha

Answer 1

$2x {}^{2} - 7x + 5 = 0 \\ 2x { }^{2} - 5x - 2x + 5 = 0 \\ x(2x - 5) - 1(2x - 5) = 0 \\ (2x - 5)(x - 1) = 0 \\ 2x - 5 = 0 \\ x = 5 \div 2 \\ x - 1 = 0 \\ x = 1$

therfore alpha = 5/2

beta = 1